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Amanda [17]
3 years ago
15

a real estate salesperson bought promotional calendars and date books. Calendars cost $.50 each, date books cost $.40 each. She

ordered 300 promotional items and spent $130
Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

Answer:what’s she question here

Step-by-step explanation:

See no question mark

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Henry has 20 Lawns mowed out of a total of 50 lawns. What percentage of the lawns does Henry have to still mow?
elena55 [62]
Henry has completed 40% of his work, leaving him with a remaining 60%.

What you do is divide 20 by 50 and your answer is .4, move the decimal two places to the right to get your percent, 40. Then subtract it out of 100 and you get the remaining 60%, which essentially is your answer.
5 0
3 years ago
I need help with 18, 19, & 20
luda_lava [24]
18. 17.9 
19. 21.1
20. I cant see the numbers sorry; if the sides are 6, √85 than it should have an angle of 40.6
4 0
3 years ago
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 42 and σ = 5.5.
alexandr1967 [171]

Answer:

a)P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

b) For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(42,25.5)  

Where \mu=42 and \sigma=5.5

And we want this probability:

P( X

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

8 0
3 years ago
Can you guys please help me. i don’t need the explanation i just need the answer
Fittoniya [83]

Answer:

36

Step-by-step explanation:

AOB + BOC = AOC

AOC = 90 since  the lines are perpendicular

6x-12 + 3x+30 = 90

Combine like terms

9x + 18 = 90

Subtract 18 from each side

9x+18-18 = 90-18

9x = 72

divide by 9

9x/9 = 72/9

x = 8

AOB = 6x - 12

         = 6*8 - 12

          = 48 -12

        = 36

5 0
3 years ago
Read 2 more answers
257 whole number,integer number, or rational number
aliya0001 [1]
257 is a whole number, interger, and a rational number.
8 0
3 years ago
Read 2 more answers
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